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Finding the Fourth Proportional to 323,540.16, 446,518.86 and 194,520.84

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Solution

The fourth proportional to 323,540.16, 446,518.86 and 194,520.84 is: 268,458.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,540.16 : 446,518.86 = 194,520.84 : x
  2. Step 2: Convert to fraction form
    323,540.16/446,518.86 = 194,520.84/x
  3. Step 3: Cross multiply
    323,540.16x = 446,518.86 × 194,520.84
  4. Step 4: Simplify right side
    323,540.16x = 86,857,223,723.04
  5. Step 5: Solve for x
    x = 86,857,223,723.04/323,540.16
  6. Step 6: Final answer
    x = 268,458.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.